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Finding the Fourth Proportional to 302,734.88, 417,774.16 and 175,484.32

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Solution

The fourth proportional to 302,734.88, 417,774.16 and 175,484.32 is: 242,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,734.88 : 417,774.16 = 175,484.32 : x
  2. Step 2: Convert to fraction form
    302,734.88/417,774.16 = 175,484.32/x
  3. Step 3: Cross multiply
    302,734.88x = 417,774.16 × 175,484.32
  4. Step 4: Simplify right side
    302,734.88x = 73,312,814,381.17
  5. Step 5: Solve for x
    x = 73,312,814,381.17/302,734.88
  6. Step 6: Final answer
    x = 242,168.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.